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992935025152 = 29717157910321
BaseRepresentation
bin11100111001011111000…
…10100001101000000000
310111220221100102111221221
432130233202201220000
5112232012331301102
62040051551324424
7131510566312510
oct16345742415000
93456840374857
10992935025152
11353112a32804
1214052bb20714
1372830693455
14360b6015840
151ac663b5637
hexe72f8a1a00

992935025152 has 160 divisors (see below), whose sum is σ = 2402476053120. Its totient is φ = 400219176960.

The previous prime is 992935025111. The next prime is 992935025167. The reversal of 992935025152 is 251520539299.

It is a self number, because there is not a number n which added to its sum of digits gives 992935025152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96200152 + ... + 96210472.

It is an arithmetic number, because the mean of its divisors is an integer number (15015475332).

Almost surely, 2992935025152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992935025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201238026560).

992935025152 is an abundant number, since it is smaller than the sum of its proper divisors (1409541027968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

992935025152 is a wasteful number, since it uses less digits than its factorization.

992935025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 52.

The spelling of 992935025152 in words is "nine hundred ninety-two billion, nine hundred thirty-five million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1088 1579 1792 1904 2176 3158 3584 3808 4352 6316 7616 8704 10321 11053 12632 15232 20642 22106 25264 26843 30464 41284 44212 50528 53686 60928 72247 82568 88424 101056 107372 144494 165136 175457 176848 187901 202112 214744 288988 330272 350914 353696 375802 404224 429488 577976 660544 701828 707392 751604 808448 858976 1155952 1228199 1321088 1403656 1414784 1503208 1717952 2311904 2456398 2642176 2807312 2829568 3006416 3435904 4623808 4912796 5284352 5614624 5659136 6012832 6871808 9247616 9825592 11229248 12025664 13743616 16296859 18495232 19651184 22458496 24051328 32593718 36990464 39302368 44916992 48102656 65187436 78604736 89833984 96205312 114078013 130374872 157209472 228156026 260749744 277046603 314418944 456312052 521499488 554093206 628837888 912624104 1042998976 1108186412 1825248208 1939326221 2085997952 2216372824 3650496416 3878652442 4171995904 4432745648 7300992832 7757304884 8343991808 8865491296 14601985664 15514609768 17730982592 29203971328 31029219536 35461965184 58407942656 62058439072 70923930368 124116878144 141847860736 248233756288 496467512576 992935025152